Essential spectrum of Schrödinger operators with 𝛿 and 𝛿^{′}-interactions on systems of unbounded smooth hypersurfaces in ℝⁿ

DOI10.1090/conm/734/14778zbMath1464.35074OpenAlexW2963591947MaRDI QIDQ5241893

Vladimir S. Rabinovich

Publication date: 4 November 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/734/14778

zbMATH Keywords

essential spectrumFredholm theoryDelta-interactions on hypersurfaces

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Schrödinger operator, Schrödinger equation (35J10)

Cites Work

• On the spectral theory of elliptic differential operators. I
• Essential spectrum of perturbed pseudodifferential operators. Applications to the Schrödinger, Klein-Gordon, and Dirac operators
• Schrödinger operators with singular interactions
• Eigenvalue asymptotics for the Schrödinger operator with a \(\delta\)-interaction on a punctured surface
• Asymptotics of eigenvalues of the Schrödinger operator with a strong \(\delta\)-interaction on a loop
• On the essential spectrum of quantum graphs
• Curvature-induced bound states for a \(\delta\) interaction supported by a curve in \(\mathbb{R}^3\)
• Limit operators and their applications in operator theory
• Schrödinger operators with \(\delta\) and \(\delta^{\prime}\)-potentials supported on hypersurfaces
• An affirmative answer to a core issue on limit operators
• Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian
• Schrödinger operators with δ- and δ′-interactions on Lipschitz surfaces and chromatic numbers of associated partitions
• Transmission problems for conical and quasi-conical at infinity domains
• An isoperimetric problem for leaky loops and related mean-chord inequalities
• Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics
• Bound states due to a strong   interaction supported by a curved surface
• On the essential spectrum of quantum waveguides
• The essential spectrum of Schrödinger operators on lattices
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Essential spectra of difference operators on -periodic graphs
• Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections
• Bound states of infinite curved polymer chains
• Band gap of the Schrödinger operator with a strong \(\delta\)-interaction on a periodic curve
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item